11.52 In an attempt to reduce the number of work hours lost due to accidents, a company tested each of three safety programs, A, B, and C, at three of the company’s nine factories. The proposed complete model is E(Y ) = b0 + b1x1 + b2x2 + b3x3 where Y  total work hours lost due to accidents for a one-year period beginning six months after the plan is instituted x1  total work hours lost due to accidents during the year before the plan was instituted x3 = e 1 if program C is in effect 0 otherwise x2 = e 1 if program B is in effect 0 otherwise After the programs have been in effect for 18 months, the complete model is fit to the n = 9 data points, with the result SSE 1,527.27 Then the reduced model is fit, with the result SSE  3,113.14 Test to see whether the mean work hours lost differ for the three programs. Use  0.05.